Flow Equation for Supersymmetric Quantum Mechanics
arXiv:0809.4396 · doi:10.1088/1126-6708/2009/03/028
Abstract
We study supersymmetric quantum mechanics with the functional RG formulated in terms of an exact and manifestly off-shell supersymmetric flow equation for the effective action. We solve the flow equation nonperturbatively in a systematic super-covariant derivative expansion and concentrate on systems with unbroken supersymmetry. Already at next-to-leading order, the energy of the first excited state for convex potentials is accurately determined within a 1% error for a wide range of couplings including deeply nonperturbative regimes.
24 pages, 8 figures, references added, typos corrected